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Simplifying 24y + -72 = 2y2 Reorder the terms: -72 + 24y = 2y2 Solving -72 + 24y = 2y2 Solving for variable 'y'. Combine like terms: 2y2 + -2y2 = 0 -72 + 24y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-36 + 12y + -1y2) = 0 Factor a trinomial. 2((-6 + y)(6 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + y)' equal to zero and attempt to solve: Simplifying -6 + y = 0 Solving -6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + y = 0 + 6 y = 0 + 6 Combine like terms: 0 + 6 = 6 y = 6 Simplifying y = 6Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {6, 6}
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